be the first derivative of r(t). Factor g(j).
4*(j - 1)**2*(j + 1)**2
Suppose -5*c + 12 = -2*v, 40*c = 37*c - 4*v - 24. Let n(t) be the second derivative of 2*t + 1/3*t**4 + c + 8*t**2 - 10/3*t**3. Factor n(r).
4*(r - 4)*(r - 1)
Let v(y) = -y**3 + 9*y**2 - 5*y - 22. Let c be v(8). Solve -13222*x + 42 + 2 - x**c + 13268*x + 3*x**2 = 0.
-22, -1
Let c(p) be the first derivative of -2*p**3/45 + 8*p**2/15 - 32*p/15 - 1048. Factor c(m).
-2*(m - 4)**2/15
Find k such that 0 - 8/9*k + 2/3*k**2 + 2/9*k**3 = 0.
-4, 0, 1
Let q(s) = 5*s**3 + 21*s**2 + 17*s + 16. Let v(k) = k**3 + k**2 - 1. Let j(z) = q(z) - 4*v(z). Let o be j(-16). Factor -p**o - 4*p - 4*p + 5*p + p + 1 + 2*p**3.
-(p - 1)**3*(p + 1)
Let q be 4 - ((-5)/2)/((-68)/136) - -1. Solve -3/2*l**5 - 9/2*l**4 + 0 + 0*l - 3*l**3 + q*l**2 = 0.
-2, -1, 0
Let u be (2 - 0)/((-44)/198). Let p(g) = 6*g**2 + 52*g - 15. Let t be p(u). Solve 23/5*j**2 + 121/5 - 1/5*j**t - 143/5*j = 0 for j.
1, 11
Let i(s) be the second derivative of -5*s**7/14 + 13*s**6/3 - 61*s**5/4 + 25*s**4/2 - 243*s. Determine q, given that i(q) = 0.
0, 2/3, 3, 5
Let c(b) be the first derivative of -b**4/4 - 134*b**3/3 + 1194. Find n such that c(n) = 0.
-134, 0
Let v(a) be the first derivative of -8/13*a - 7/13*a**2 + 1/26*a**4 - 36 - 4/39*a**3. Factor v(s).
2*(s - 4)*(s + 1)**2/13
Let d be (-28)/84 - (17/(-33) + -2). Factor -6/11*q**2 - 24/11*q - d.
-6*(q + 2)**2/11
Let w(a) = -7*a**2 + 5563*a + 5778. Let o(m) = 29*m**2 - 22199*m - 23112. Let x(i) = 4*o(i) + 17*w(i). Determine p so that x(p) = 0.
-1, 1926
Factor 31*k**4 - 44*k - 25*k**3 + 35*k**2 + k**2 + 18*k**2 - 27*k**4 + 22 - 14.
(k - 2)**3*(4*k - 1)
Let s(x) = -x**3 + 36*x**2 + 3. Let o be s(36). Factor 80*n**2 + 166*n + 79 - n**3 + 15 - 10 - n**o.
-2*(n - 42)*(n + 1)**2
Let y(i) be the third derivative of i**6/600 + 4*i**5/75 + 11*i**4/24 - 12*i**3/5 - 1589*i**2 + 2*i. Find s, given that y(s) = 0.
-9, -8, 1
Let y(w) be the second derivative of w**8/672 + w**7/420 - w**6/240 - w**5/120 - 13*w**2/2 + 67*w. Let f(s) be the first derivative of y(s). Factor f(m).
m**2*(m - 1)*(m + 1)**2/2
Let x(d) be the first derivative of d**5/420 + d**4/28 + 4*d**3/21 + 8*d**2 - 70. Let q(s) be the second derivative of x(s). Find g, given that q(g) = 0.
-4, -2
Let k be (3 - 13)*3/2. Let v be (-1 - k)/(22/6 + -3). Find l such that 9 - 140*l - 4*l**3 - v + 44*l**2 + 47 + 65 = 0.
1, 5
Let i(r) be the third derivative of 7*r**6/540 + r**5/15 - r**4/9 + 47*r**3/6 + r**2 - 22. Let z(w) be the first derivative of i(w). Solve z(t) = 0 for t.
-2, 2/7
Suppose 0 = -0*f + 2*f - 8. Let i(g) = -1 + 1229*g**2 - 1228*g**2 - 2. Let u(q) = 3*q**2 - q - 7. Let o(h) = f*u(h) - 10*i(h). Factor o(m).
2*(m - 1)**2
Let r(t) be the second derivative of 7*t**6/50 + 3*t**5/50 - 133*t**4/20 - 124*t**3/5 - 18*t**2 + 1845*t. Find u such that r(u) = 0.
-3, -2, -2/7, 5
Let s be ((-16)/(-12))/((-186)/(-31)) + 132/54. Determine z so that -14 - s*z + 2/3*z**2 = 0.
-3, 7
Let a(r) be the third derivative of -r**8/3920 - r**7/490 + r**6/168 + 103*r**3/2 + 194*r**2. Let o(p) be the first derivative of a(p). Solve o(v) = 0 for v.
-5, 0, 1
Let -374/5*l + 70*l**2 - 716/5 + 8/5*l**3 = 0. What is l?
-179/4, -1, 2
Let s = 45639 + -45639. Let d(l) be the second derivative of s - 1/24*l**4 + 0*l**5 + 1/180*l**6 + 53*l + 0*l**2 + 1/18*l**3. Factor d(j).
j*(j - 1)**2*(j + 2)/6
Let h(k) = k**3 + 2*k**2 + k. Let n(m) = m**3 + 12*m**2 + 35*m + 24. Let z(y) = -3*h(y) + n(y). What is t in z(t) = 0?
-2, -1, 6
Let k(t) be the first derivative of t**5/270 + 11*t**4/18 - 67*t**3/27 - t**2/2 - 18*t - 159. Let r(u) be the second derivative of k(u). Factor r(m).
2*(m - 1)*(m + 67)/9
Let s(m) be the first derivative of -24*m**5/25 + 319*m**4/10 + 326*m**3/5 - 366*m**2/5 + 112*m/5 - 1168. Determine v, given that s(v) = 0.
-2, 1/4, 1/3, 28
Let a(w) be the third derivative of -w**5/20 - 7*w**4/8 + 130*w**3 - w**2 + 1002. Find f such that a(f) = 0.
-20, 13
Let w(n) be the second derivative of 2*n**6/15 - 6*n**5 + 56*n**4/3 + 271*n. Suppose w(i) = 0. What is i?
0, 2, 28
Suppose -5 = -2*u + 7. Suppose -5*d - 60 = -4*z, -3*d + u*d - 18 = -3*z. Let -10*p**3 - 4*p**5 - 5*p + z*p**2 + 4 + 3*p**5 - 8 + 5 + 5*p**4 = 0. Calculate p.
1
Let n = -12804/113 - -166678/1469. Factor -n*y**2 + 2 - 24/13*y.
-2*(y - 1)*(y + 13)/13
Let i(n) be the second derivative of 0*n**2 + 35*n - 7/3*n**3 - 4/3*n**4 - 1/10*n**5 + 1. Factor i(j).
-2*j*(j + 1)*(j + 7)
Suppose 436*v**5 - 435*v**5 - 31*v**2 - 3*v + 5*v**3 + 22*v**4 - 15*v**4 - 27*v = 0. Calculate v.
-5, -3, -1, 0, 2
Let u be -2*(-3)/21 - 688/56. Let y be (1/((-28)/u))/(6/21). Let 1/2 + y*r - 1/2*r**2 - 3/2*r**3 = 0. Calculate r.
-1, -1/3, 1
Let i(s) be the first derivative of -3*s**4/4 + 10*s**3 + 411*s**2/2 + 378*s + 4113. Factor i(x).
-3*(x - 18)*(x + 1)*(x + 7)
Let a(q) be the second derivative of -1/42*q**4 + 9/7*q**2 + 0 - 42*q + 9/14*q**3 - 3/140*q**5. Factor a(p).
-(p - 3)*(p + 3)*(3*p + 2)/7
Let u = -1605597/5 + 321129. Determine p so that -u*p + 21/5*p**2 - 3/5*p**3 + 36/5 = 0.
2, 3
Let v(m) = 4*m**2 - 837*m + 5666. Let k be v(7). Factor 0 - 2/3*s**4 + 0*s - 4/3*s**k + 2*s**2.
-2*s**2*(s - 1)*(s + 3)/3
Let g = -923 - -925. Factor 3*x**4 + g*x + 21*x**3 - 60*x**2 + 93*x**2 + 13*x.
3*x*(x + 1)**2*(x + 5)
Suppose 5*m - 157 = -2. Let w = -30 + m. Let -4 - 1 + 0 - 21*l - w - 15*l**2 = 0. Calculate l.
-1, -2/5
Let i(y) = 9*y + 585*y**2 + y - 297*y**2 - 4 - 24 - 292*y**2. Let a = -7 + 4. Let j(m) = -5*m**2 + 10*m - 29. Let v(h) = a*j(h) + 4*i(h). What is s in v(s) = 0?
5
Let y = 172 + -120. Suppose 8 - 8 = -y*o. Factor -120/7*t**2 + o + 100/7*t + 36/7*t**3.
4*t*(3*t - 5)**2/7
Let i = 0 - -4. Solve -20*w**2 + 10*w + 15 - 10*w**3 - w**4 + 9*w**4 - 3*w**i + 0*w**4 = 0.
-1, 1, 3
Let a(v) = -68*v**2 + 58*v - 45. Let p(m) = 31*m**2 - 28*m + 22. Let o(r) = -6*a(r) - 13*p(r). Let o(h) = 0. Calculate h.
-4, 4/5
Let h be (-8*1)/(295/(-75) - (-26)/(-390)). Solve 9/2*s**3 + 1/4*s**5 + 5/4*s - 4*s**h + 0 - 2*s**4 = 0.
0, 1, 5
Suppose -9 = -f - 4. Suppose -f + 5 = 8*p. Solve -3*z**5 - 6*z**4 + p*z**4 + z**3 - 4*z**3 = 0.
-1, 0
Let w(t) = t**2 - 13*t - 8. Let p be w(12). Let b be (7/(35/p))/((-4)/6). Suppose 9 - 55*y - 8*y**2 + 5*y**3 - 6*y**2 - b*y**2 - 39 = 0. Calculate y.
-1, 6
Let p be -3*11/22*1/(-6). Let h(z) be the first derivative of p*z**2 - 1/6*z**3 + z + 24. Let h(u) = 0. What is u?
-1, 2
Let c(b) be the third derivative of b**7/1155 + b**6/60 + 9*b**5/110 + 25*b**4/132 + 8*b**3/33 - 1620*b**2. Factor c(t).
2*(t + 1)**3*(t + 8)/11
Let k = 142671 - 142669. Let -2/9*d**k - 10/9*d - 4/3 = 0. Calculate d.
-3, -2
Let v = -134 - -94. Let p be (-16)/v - (-52)/20. Factor 2/5*f**p - 4/5*f**2 + 4/5 - 2/5*f.
2*(f - 2)*(f - 1)*(f + 1)/5
Let v(z) be the third derivative of z**8/336 - 2*z**7/35 + z**6/6 + 419*z**2 - 2*z. Determine l, given that v(l) = 0.
0, 2, 10
Let z = 448 + -4883/11. Let o = z - 439/110. Solve 1/5*a - o*a**2 - 1/10*a**3 + 0 = 0.
-2, 0, 1
Let j(c) = -c**3 + 11*c**2 + 348*c - 3292. Let p be j(9). Let o = 24 + -20. Solve 0 + 0*b**p - 12/5*b**3 + 0*b + 4/5*b**o = 0.
0, 3
Let a(g) be the first derivative of -g**4/4 - 24*g**3 - 861*g**2/2 - 2842*g + 11214. Determine s so that a(s) = 0.
-58, -7
Suppose -69*q**4 + 18*q**2 + 12*q**4 - 2*q**5 + 21*q**4 + 7*q**4 + 11*q**4 - 44*q + 46*q**3 = 0. What is q?
-11, -1, 0, 1, 2
Let y(p) be the first derivative of -p**3/7 - 228*p**2/7 + 132*p + 1659. Factor y(o).
-3*(o - 2)*(o + 154)/7
Suppose n = -5*k - 1, -128*k + 126*k + 20*n + 20 = 0. Find d, given that k - 12/5*d + 2/5*d**2 + 8/5*d**3 + 2/5*d**4 = 0.
-3, -2, 0, 1
Let a(q) be the third derivative of -q**6/600 - 109*q**5/75 - 11881*q**4/30 - 12389*q**2. Factor a(d).
-d*(d + 218)**2/5
Let r(j) be the first derivative of 65/9*j**2 - 1184/45*j**5 - 64/9*j**6 + 2/3*j**4 + 134/9*j**3 + 4/3*j + 35. Find k, given that r(k) = 0.
-3, -1/4, 2/3
Let j(h) be the first derivative of -h**3/3 + h**2/2 + 2*h + 85. Let l(v) = -6*v**3 - 24*v**2 - 9*v + 18. Let y(k) = 3*j(k) - l(k). Factor y(f).
3*(f + 2)**2*(2*f - 1)
Solve 2/11*a**3 - 8/11*a - 94/11*a**2 + 376/11 = 0 for a.
-2, 2, 47
Let h be 2/4*-8*(-1)/2. Factor 30*d - 158*d**3 - 28*d**h - 6*d + 158*d**3 + 4*d**4.
4*d*(d - 2)*(d - 1)*(d + 3)
Let h(o) be the third derivative of -o**7/135 - 19*o**6/90 - 16*o**