 + 1)*(a + 3)/7
Let f = -75/71 - -3209/2769. Let d(l) be the second derivative of 0 - 1/26*l**4 + f*l**3 + 0*l**2 - 12*l - 1/130*l**5. Let d(q) = 0. Calculate q.
-4, 0, 1
Let a(s) be the second derivative of s**6/60 + s**5/8 - 13*s**4/4 + 6*s**3 + 1777*s. Let a(q) = 0. What is q?
-12, 0, 1, 6
Suppose -35 - 90*u**3 - 42*u**3 + 436*u**2 - 10*u**5 - 253 + 34*u - 148*u**4 + 102*u + 6*u**5 = 0. What is u?
-36, -2, -1, 1
Let p(q) be the third derivative of q**6/90 + q**5/30 - 11*q**3/6 - 24*q**2. Let r(o) be the first derivative of p(o). Find z, given that r(z) = 0.
-1, 0
Let f be ((-63)/(-147))/(5 - (-344)/(-70)). Let v be (-14 + 1)*1/(-3). Let 0 + 4*h**2 - 1/3*h**f + 2*h**4 - 4/3*h - v*h**3 = 0. What is h?
0, 1, 2
Let u(j) be the first derivative of -j**7/280 - j**6/36 - j**5/40 - 4*j**3 - j**2 + 76. Let c(v) be the third derivative of u(v). What is d in c(d) = 0?
-3, -1/3, 0
Determine d, given that 0 + 0*d**3 + 1/2*d**4 + 0*d + 0*d**2 = 0.
0
Let r(c) = -3*c**4 + 21*c**3 + 365*c**2 + 1235*c + 898. Let y(s) = -7*s**4 + 40*s**3 + 732*s**2 + 2470*s + 1795. Let m(g) = 15*r(g) - 6*y(g). Factor m(j).
-3*(j - 36)*(j + 1)*(j + 5)**2
Let r(n) be the third derivative of n**5/60 - 29*n**4/6 + 38*n**3 - 8*n**2 + 21. Factor r(t).
(t - 114)*(t - 2)
Suppose 0 = 2*d + 3*h + 817 - 829, 4*d = -2*h + 16. Suppose 0 + 2/13*b**d + 0*b + 2/13*b**2 = 0. What is b?
-1, 0
Let q(s) be the second derivative of 0*s**3 + 0*s**2 - 1/12*s**5 - 1/18*s**4 + 0 - 1/126*s**7 - 2/45*s**6 - 29*s. Factor q(j).
-j**2*(j + 1)**2*(j + 2)/3
Let w = -243 + 245. Factor 2*z**2 + 80*z - z**2 + 3*z**w + z**2.
5*z*(z + 16)
Find g, given that 27/7*g**3 + 0 + 27/7*g**4 - 486/7*g - 243/7*g**2 + 3/7*g**5 = 0.
-6, -3, 0, 3
Let w(z) be the third derivative of 0*z**3 - 2 + 0*z + 1/14*z**4 - 130*z**2 - 1/210*z**5 - 1/420*z**6. Factor w(c).
-2*c*(c - 2)*(c + 3)/7
Suppose 6*h**2 + 272*h + 3*h**2 + 181 - 276 + 155 = 0. What is h?
-30, -2/9
Let p = -1141 + 741. Let k be 5/6*10*(-8)/p. Determine x so that k*x**2 + 2/3*x + 2/3 = 0.
-2
Let d = -238979 + 2151479/9. Factor d*t - 64/3 + 14/9*t**2.
2*(t + 48)*(7*t - 2)/9
Suppose 8*n - 82*n = 168*n - 726. Let 1/7*s**4 - 2/7*s**n - 15/7*s**2 + 0 + 0*s = 0. Calculate s.
-3, 0, 5
Suppose 8*p = -5*k + 87, 2*k - 1365*p = -1363*p - 12. Factor 4/7*n**4 + 816*n + 1008 + 1492/7*n**2 + 136/7*n**k.
4*(n + 3)**2*(n + 14)**2/7
Suppose 3*i - 3*x = 24, 2*i + 44*x + 32 = 40*x. Factor -3/2*f**2 + i - 1/2*f**3 - f.
-f*(f + 1)*(f + 2)/2
Suppose 0 = -23*b + 6*b + 14722. Let v = b - 863. Factor -7/4*c + 1/2 + 2*c**2 - 1/2*c**4 - 1/2*c**v + 1/4*c**5.
(c - 1)**4*(c + 2)/4
Let o(c) be the first derivative of 4*c**3/3 + 38*c**2 - 168*c - 2552. Solve o(l) = 0.
-21, 2
Factor 254/3*q**2 + 18304/3 + 4448/3*q - 2/3*q**3.
-2*(q - 143)*(q + 8)**2/3
Let p be 11 + 7 + -12 - 6. Suppose -8*r + 6*r + 8 = p, -4*g - 5*r = -20. Determine m, given that g*m**2 + 0*m - 1/6*m**3 + 0 = 0.
0
Let c(f) = -f**3 - 4*f**2 + f - 1. Let t(a) = 9*a**3 - 186*a**2 + 4845*a - 37038. Let y(j) = -6*c(j) - t(j). Factor y(h).
-3*(h - 28)*(h - 21)**2
Let i = 12952 - 12950. Let q(o) be the third derivative of 1/60*o**6 + 0*o + 1/15*o**5 - 32*o**i + 0*o**3 + 0 + 1/12*o**4. Solve q(b) = 0 for b.
-1, 0
Let c(h) be the first derivative of h**3/9 + 5*h**2/2 + 44*h/3 - 1003. Determine m so that c(m) = 0.
-11, -4
Let y(d) = 199*d**2 + 2*d**4 - 201*d**2 + 13*d**3 - 2*d - 7*d**4 + 8*d. Let c(f) = -9*f**4 + 25*f**3 - f**2 + 13*f. Let l(m) = -6*c(m) + 11*y(m). Factor l(v).
-v*(v + 2)**2*(v + 3)
Let y(a) be the third derivative of -a**6/132 - 8*a**5/55 - 12*a**4/11 - 128*a**3/33 + 5467*a**2. Factor y(v).
-2*(v + 4)**2*(5*v + 8)/11
Let p = -3928 - -3933. Let d(o) be the first derivative of 2/5*o**3 - 9/25*o**p + 3/5*o - 3 - 3/10*o**4 + 9/10*o**2 - 1/10*o**6. Factor d(t).
-3*(t - 1)*(t + 1)**4/5
Let i(m) = -9*m**4 - 27*m**3 + 73*m**2 - 17*m - 108. Let j(b) = -b**4 - b**3 + b**2 + b. Let v(g) = -3*i(g) + 30*j(g). Factor v(d).
-3*(d - 12)*(d - 3)**2*(d + 1)
Factor -277239/2*f**2 - 3/2 + 279990*f**3 - 140454*f**4 - 915*f.
-3*(f - 1)**2*(306*f + 1)**2/2
Let z(t) be the third derivative of 1/60*t**6 + 0*t**3 + 40*t**2 + 0 + 0*t**4 + 0*t**5 - 1/672*t**8 + 0*t**7 - 3*t. Find m, given that z(m) = 0.
-2, 0, 2
Suppose 27*w = 39 - 174. Let d be ((-160)/(-12)*(-2)/w)/2. Factor 2/3*f**2 + d*f + 8/3.
2*(f + 2)**2/3
Suppose 2*i + 158 = -4*l, l = -4*i - 279 - 37. Let f = 99 + i. What is y in -12*y**2 - f*y**2 + 26*y**2 - 3*y**3 - 3*y = 0?
-1, 0
Suppose -3*i + 4*i = 36. Let a be i/(-12)*1/(-1). Let 0 + 0*k + 1/10*k**4 + 3/5*k**a + 9/10*k**2 = 0. Calculate k.
-3, 0
Let a = 95755/143457 - 39/47819. Find m, given that -5*m**3 - a - 32/3*m**2 - 19/3*m = 0.
-1, -2/15
Let z be (-19)/(-5) - (-2)/10. Suppose 2*v = z*v - 16. Factor -2 + 4*y + 5*y - v*y + y**2.
(y - 1)*(y + 2)
Let o = -6292/3 + 2100. Let f(h) be the second derivative of -26/3*h**3 + 16*h - 1/5*h**5 + o*h**4 + 0 + 12*h**2. Let f(x) = 0. Calculate x.
1, 6
Let 250/3*h**4 + 14*h**5 + 106/3*h**3 - 250/3*h**2 - 148/3*h + 0 = 0. Calculate h.
-37/7, -1, -2/3, 0, 1
Factor 0 - 2/7*q**2 - 908*q.
-2*q*(q + 3178)/7
Let d(j) be the first derivative of -j**8/10080 + 11*j**7/5040 - j**6/216 + 21*j**3 + 81. Let y(s) be the third derivative of d(s). Factor y(m).
-m**2*(m - 10)*(m - 1)/6
Let v(p) be the first derivative of -p**6/42 + p**5/5 - 3*p**4/14 - 4*p**3/3 + 20*p**2/7 + 3200. Suppose v(x) = 0. What is x?
-2, 0, 2, 5
Let c be (8/(192/18))/(-4 - 385/(-88)). Factor 0 + 2/3*s**c - 2*s.
2*s*(s - 3)/3
Determine p, given that 37/10 + 18/5*p - 19/5*p**2 - 18/5*p**3 + 1/10*p**4 = 0.
-1, 1, 37
Let p(g) be the second derivative of -5*g**8/336 + g**7/7 + g**6/24 - g**5/2 + 145*g**2/2 + 92*g. Let k(c) be the first derivative of p(c). Solve k(l) = 0.
-1, 0, 1, 6
Suppose -4*n + 15 = -3*c, -2*n = -3*n + 4*c - 6. Let y be 5/(9/n*4). Factor 1/2*l**2 + 1/3 - 1/6*l**3 + y*l - 1/6*l**4.
-(l - 2)*(l + 1)**3/6
Let m = -834 - -838. Factor -m*f + 66*f**2 - 8*f**3 - 117*f**2 + 36*f + 67*f**2 - 4*f**4.
-4*f*(f - 2)*(f + 2)**2
Factor 25/2*s**2 + 9/4 + 59/4*s.
(s + 1)*(50*s + 9)/4
Let h(r) = 22*r**2 - 1958*r - 322767. Let n(f) = 105*f**2 - 9792*f - 1613832. Let l(w) = -24*h(w) + 5*n(w). Factor l(d).
-3*(d + 328)**2
Let n(p) = -8*p + 121. Let m be n(6). Factor 4*v**3 + 11*v**2 - 203*v**2 + 3*v**2 + m*v**2.
4*v**2*(v - 29)
Let k(t) = -6*t**2 + 74*t + 464. Let m be k(-7). Let v be m/(-600) + (-14)/175. Find g, given that 0 + v*g**3 + 3/2*g**2 - g + 1/2*g**5 - 3/2*g**4 = 0.
-1, 0, 1, 2
Suppose -13*q - 90 + 38 = 0. Let u(g) = 78*g + 314. Let j be u(q). Let -9/2*x**4 + 0*x + 0 + 3*x**3 + 0*x**j = 0. What is x?
0, 2/3
Suppose 5*r = 103 + 12. Let w = 27 - r. Let 25*b - 28*b**2 + w*b**4 - 6*b + 5*b = 0. What is b?
-3, 0, 1, 2
Let h = -7 - -3. Let t be (-78)/(-13)*h/(-6). Find c, given that 4*c**5 - 4*c**2 + 15*c**3 - 1 + 1 - 12*c**t - 3*c**3 = 0.
0, 1
Suppose 52 = -0*l + 2*l + 3*r, 3*l - 3*r - 108 = 0. Suppose -12 = 4*w - l. Factor 6*q - 3*q**5 + q**5 - 5*q + 3*q**w - 2*q**3.
q*(q - 1)**2*(q + 1)**2
Let j(z) be the third derivative of -38/105*z**5 + 4/21*z**4 + 0*z + 5/147*z**7 + 0*z**3 - 31*z**2 + 0 + 4/21*z**6. Factor j(m).
2*m*(m + 4)*(5*m - 2)**2/7
Let z = -1144187/35 - -32693. Let v(i) be the second derivative of -33/7*i**4 + 81/14*i**3 - 32/105*i**6 + 0 + 24*i - 27/7*i**2 + z*i**5. Factor v(g).
-(g - 2)*(4*g - 3)**3/7
Suppose 498/7*a**2 - 150/7*a + 150/7*a**3 + 6/7*a**4 - 72 = 0. What is a?
-21, -4, -1, 1
Let v be (2/12 - (-1179)/(-262)) + (-24)/(-4). Solve -v*t**2 - 1/2*t**3 + 9/2*t + 5/3 = 0 for t.
-5, -1/3, 2
Let r(p) be the first derivative of -3/2*p**4 + 0*p**2 - 196 - 1/5*p**5 + 0*p - 5/3*p**3. Factor r(u).
-u**2*(u + 1)*(u + 5)
Factor -91/8*m + 23/2 - 1/8*m**2.
-(m - 1)*(m + 92)/8
Let r = 159 + -156. Let t(s) = -2*s**2 + 4*s. Let j(m) = -2*m. Let f(o) = r*j(o) - t(o). Factor f(d).
2*d*(d - 5)
Let f = -19444/113015 - -2/3229. Let n = -1/210 - f. What is q in -1/2*q**3 + 0*q - 1/3*q**2 - n*q**4 + 0 = 0?
-2, -1, 0
Factor -26/7*d**2 + 1/7*d**5 - 19/7*d - 2*d**3 - 1/7*d**4 - 5/7.
(d - 5)*(d + 1)**4/7
Factor 27/4*r**2 - 1/4*r**3 + 0 + 0*r.
-r**2*(r - 27)/4
Let n(x) be the second derivative of x**4/18 + 1490*x**3/3 + 1665075*x**2 - 4244*x + 1. Factor n(k).
2*(k + 2235)**2/3
Let q(v) be the first derivative of 4*v**5/5 + 68*v**4 + 2704*v**3