ven that j(p) = 0.
1, 5
Let z = -26601/116 + 6672/29. Find o such that -1/4*o**4 + 0*o + 0 + z*o**3 + 0*o**2 = 0.
0, 3
Let o = 6/91 - -152/455. What is y in 0*y + 0 - o*y**5 + 4/15*y**3 + 0*y**2 + 2/15*y**4 = 0?
-2/3, 0, 1
Let l be (-110)/66 + 2*2 + (-565)/1017. Let 4/9*u**4 - l*u**2 - 16/9*u + 4/9*u**3 + 0 = 0. Calculate u.
-2, -1, 0, 2
Let m(r) be the first derivative of r**6/24 + 11*r**5/3 + 145*r**4/24 - r**3/3 + 21*r**2 + 200. Let q(j) be the third derivative of m(j). Factor q(u).
5*(u + 29)*(3*u + 1)
Let p(r) = -12*r**3 + 4732*r**2 - 461020*r + 308. Let m(q) = -4*q**3 + 1577*q**2 - 153673*q + 99. Let b(u) = -28*m(u) + 9*p(u). Let b(y) = 0. What is y?
0, 196
Let a be 8 + 1 + (31 - (-3588)/(-117)). Determine s so that a*s**2 + 0 + 4/3*s**3 + 0*s = 0.
-7, 0
Let s(r) be the first derivative of 21/8*r**2 - 24 + 11/6*r**3 + 0*r + 1/16*r**4. Factor s(m).
m*(m + 1)*(m + 21)/4
Let r(a) be the second derivative of -7*a**6/15 + 87*a**5/10 - 48*a**4 + 36*a**3 + 941*a. Solve r(u) = 0 for u.
0, 3/7, 6
Let u = 16292 - 162917/10. Let c(j) be the first derivative of 0*j**2 - 1/4*j**6 + 3/8*j**4 + 1/2*j**3 + 0*j - u*j**5 + 2. Find b such that c(b) = 0.
-1, 0, 1
Suppose 0 = -52*a + 34*a + 54. Let t(u) be the first derivative of -1/3*u**a - 1/2*u**2 + 0*u - 13. Factor t(l).
-l*(l + 1)
Suppose -46*j - 1060 = -50*j. Factor -40*p + 522*p**2 - 263*p**2 - 260*p**2 - 135 - j.
-(p + 20)**2
Suppose -30*x - 7/2*x**2 + 1/2*x**3 + 0 = 0. What is x?
-5, 0, 12
Let n(z) be the second derivative of -60*z**2 + 14 + 5*z + 35/3*z**3 - 5/12*z**4. Factor n(a).
-5*(a - 12)*(a - 2)
Let n(g) be the first derivative of -4*g**5/5 - 89*g**4 - 3480*g**3 - 48600*g**2 + 108000*g + 920. Factor n(l).
-4*(l - 1)*(l + 30)**3
Let w(v) be the second derivative of -v**6/30 - 17*v**5/8 - 101*v**4/12 - 20*v**3/3 + 6*v - 258. Find h such that w(h) = 0.
-40, -2, -1/2, 0
Let l(n) be the first derivative of -22/21*n**3 + 1/2*n**2 + 0*n + 120 - 2/7*n**5 + 1/42*n**6 + 6/7*n**4. Factor l(i).
i*(i - 7)*(i - 1)**3/7
Suppose -84 = -4*d + 2*w, -5*w = 305*d - 306*d - 6. Let v(f) be the third derivative of 0*f**3 + 1/24*f**6 + 0*f + 0*f**4 - d*f**2 + 0 + 1/12*f**5. Factor v(j).
5*j**2*(j + 1)
Factor -64*d**2 + 21 + 16 - 6 - 17 + 34 - 244*d.
-4*(d + 4)*(16*d - 3)
Let a(t) be the third derivative of t**5/12 + 6365*t**4/12 + 8102645*t**3/6 - 48*t**2 - 4*t. Determine z, given that a(z) = 0.
-1273
Let u(v) = -v**3 - 7*v**2 + 7*v + 1. Let s be u(-9). Determine q so that -3*q + 30 + s*q**3 - 6*q**4 + 36*q - 5*q - 152*q**2 = 0.
-1/3, 1, 15
Let j(p) be the second derivative of -p**6/60 + 19*p**5/20 - 39*p**4/2 + 845*p**3/6 + 2197*p**2/4 - 1745*p. Let j(q) = 0. Calculate q.
-1, 13
Let p(c) be the second derivative of 18*c - 1/70*c**5 + 0*c**2 + 0 + 3/28*c**4 + 1/1260*c**6 + 9/2*c**3. Let n(t) be the second derivative of p(t). Factor n(k).
2*(k - 3)**2/7
Factor 560/11 + 2/11*c**3 - 626/11*c + 64/11*c**2.
2*(c - 7)*(c - 1)*(c + 40)/11
Let f be (4/10)/((-135)/(-25) - 5). Suppose 0 = y - f - 1. Solve w**2 + 19*w**2 + y*w**4 + 10*w**3 - 2*w**2 + 4 + 14*w = 0 for w.
-2, -1
Let v(c) = 209*c**2 - 158*c - 15. Let l(n) = -n**3 - n**2 - n - 3. Let q(d) = 6*l(d) + v(d). Find i such that q(i) = 0.
-1/6, 1, 33
Suppose -30*g + 846*g**4 - 24*g**2 - 8 - 855*g**4 - 29*g**3 - 19*g**2 - g**5 = 0. What is g?
-4, -2, -1
Let s(b) be the first derivative of -62/9*b**3 - 1/6*b**4 + 1/3*b**2 + 62/3*b - 192. Determine n so that s(n) = 0.
-31, -1, 1
Suppose -117*s + 116*s = -3. Factor a**5 + 1260*a**2 + 310*a + a**5 + 278*a + a**5 + 759*a**s + 90*a**4.
3*a*(a + 1)**2*(a + 14)**2
Let o be (-851200)/(-3420) - 20/36. Suppose -745/3*l + 5*l**4 - 265/3*l**2 + o*l**3 + 250/3 = 0. Calculate l.
-50, -1, 1/3, 1
Let o be 4/(2/(-9) - (-180)/81). Let r(g) be the first derivative of -3/5*g**2 - 1/5*g**3 + 0*g + o. Let r(n) = 0. Calculate n.
-2, 0
Let h = -153634/3 + 51222. Solve -2/3*d**2 + 34/3*d - h = 0 for d.
1, 16
Let j(a) be the first derivative of -a**4/8 - 25*a**3/6 + 73*a**2/2 - 60*a + 2017. Suppose j(v) = 0. Calculate v.
-30, 1, 4
Let a(x) be the first derivative of -3/4*x**4 - 65 + x**3 + 9*x**2 + 0*x. Let a(h) = 0. Calculate h.
-2, 0, 3
Let i(g) = 8*g**4 - 48*g**3 - 110*g**2 + 48*g + 3. Let a(f) = f**4 - 7*f**3 + 1. Let k(t) = 6*a(t) - 2*i(t). Factor k(y).
-2*y*(y - 8)*(y + 3)*(5*y - 2)
Let y be ((-7)/35)/((-196)/64 + 3). Let m(r) be the first derivative of 0*r**2 - 8 - y*r + 4/15*r**3. Factor m(i).
4*(i - 2)*(i + 2)/5
Factor 4*o**3 + 4455*o**4 + 136*o**3 - 4381*o**4 + 2*o**5 - 142*o - 70 - 4*o**2.
2*(o - 1)*(o + 1)**3*(o + 35)
Let m(c) be the third derivative of 2*c**7/735 + 29*c**6/420 + 10*c**5/21 + 103*c**4/84 + 10*c**3/7 - 3*c**2 + 57*c - 3. Suppose m(l) = 0. What is l?
-10, -3, -1, -1/2
Let j(h) = -18*h**2 - 72186*h + 144411. Let y(u) = -u**2 - 4512*u + 9026. Let k(l) = -2*j(l) + 33*y(l). Factor k(m).
3*(m - 1506)*(m - 2)
Let g be 1*20 - (1 - -1). Suppose 3*s + 8 = -2*d, 5*s + 5*d + 174 = 154. Determine l so that -37 - g*l**2 + 55 + s*l - 3*l + 3*l**3 = 0.
-1, 1, 6
Let s = -10528 + 10528. Let g(w) be the third derivative of -1/24*w**6 + 5/8*w**4 + 1/6*w**5 + 0*w - 13*w**2 + s*w**3 + 0. Factor g(v).
-5*v*(v - 3)*(v + 1)
Suppose 4*w - 137 = -3*z, -z = -5*w + 83 + 74. Factor -23*v**2 + 40*v**3 + v**4 + 160*v - 96 - 109*v**2 + w - 5*v**4.
-4*(v - 4)**2*(v - 1)**2
Let j(o) = 2041868*o**3 - 439040*o**2 - 3266*o + 15. Let k(n) = -1361245*n**3 + 292700*n**2 + 2177*n - 11. Let i(c) = -5*j(c) - 7*k(c). Factor i(w).
-(9*w - 2)*(275*w + 1)**2
Let z(t) = 3*t - 70. Let q be z(24). Find r, given that 3*r**2 - 723*r**5 + 44*r**3 - 40*r**4 + 719*r**5 + r**q - 4*r**2 = 0.
-11, 0, 1
Let -18/5*y**2 - 14/5*y - 2/5*y**4 - 2*y**3 - 4/5 = 0. Calculate y.
-2, -1
Suppose -4*t = -4*k + 1008, -2*k + 3*t = -465 - 35. Factor -523*u**3 + 3*u + k*u**3 - 12*u**2 + 12 + 264*u**3.
-3*(u - 1)*(u + 1)*(u + 4)
Suppose 0 = 2*z - 4*r - 26, 3*z - 3 = r + 11. Suppose -5*d - 2*i = -8, -z*i + 2 + 10 = -5*d. Let 3*g**2 + 4*g**3 + 4*g + d + 5*g**2 + 0 = 0. What is g?
-1, 0
Suppose -887*z**3 - 21*z**3 - 1562*z**3 - 75*z**4 - 755*z**3 + 6*z**2 + 516*z + 6*z**2 = 0. Calculate z.
-43, -2/5, 0, 2/5
Let r(v) = 20*v**2 + 48*v + 7. Let c(a) = 5*a + 25. Let b be c(-4). Let o(h) = 40*h**2 + 95*h + 15. Let n(x) = b*r(x) - 3*o(x). Factor n(f).
-5*(f + 2)*(4*f + 1)
Suppose -17*y - 12 = -21*y. Let i be 2/(-4) - (-21)/6. Factor -6*o - i*o**3 + y - 7 + 9*o**2 + 4.
-3*o*(o - 2)*(o - 1)
Suppose 0 = 492*n - 416*n. Let o(i) be the third derivative of 0*i**3 + n + 0*i + 1/240*i**5 - 9*i**2 - 1/32*i**4. Factor o(c).
c*(c - 3)/4
Let o(g) be the first derivative of -g**4/66 - 53*g**3/33 - 52*g**2/11 + 36*g + 213. Let m(c) be the first derivative of o(c). Factor m(l).
-2*(l + 1)*(l + 52)/11
Let k(u) be the third derivative of -u**6/420 + u**5/70 + 3*u**4/28 + 5*u**3/21 - 53*u**2 - 9. Factor k(y).
-2*(y - 5)*(y + 1)**2/7
Let g = -29 - 1. Let r = -10 - g. Factor -8*u**2 - r*u**4 - 8*u**2 - 32*u**3 - 16*u**5 + 8*u**5 + 4*u**5.
-4*u**2*(u + 1)*(u + 2)**2
Suppose 3*v + 8 - 11 = 0. Let s(y) = 4*y**2 - 12*y + 13. Let i be s(v). Solve 0 - 9/2*t**2 + i*t**3 - 3/2*t**4 + t = 0 for t.
0, 1/3, 1, 2
Let o(c) be the first derivative of 98*c - 26/3*c**3 + 1/2*c**4 + 35*c**2 - 47. What is g in o(g) = 0?
-1, 7
Let b(r) = 97*r + 282. Let w be b(-6). Let a be (-225)/w*((-20)/6)/(-1). Factor -1/2*n**2 + 7/4*n**4 - 11/4*n - 5/4 + 1/4*n**5 + a*n**3.
(n - 1)*(n + 1)**3*(n + 5)/4
Let i(b) = -7*b**3 - 10*b**2 - 7*b + 6. Let z(j) = -j**3 - 2*j**2 - j + 1. Let v = -92 + 93. Let y(f) = v*i(f) - 6*z(f). Find c such that y(c) = 0.
0, 1
Let h(c) be the first derivative of -c**4/4 - 11*c**3/3 + 8*c**2 + 50*c + 159. Let l be h(-12). Factor -2/3 + 4/3*b**4 - 1/3*b**5 - 4/3*b**3 - 2/3*b**l + 5/3*b.
-(b - 2)*(b - 1)**3*(b + 1)/3
Suppose -o + 3*o = -5*c + 74, -o + 40 = c. Factor -13*t**3 - 18*t**2 + 9*t**3 - 16*t**3 - 4*t + 36*t**4 - o*t**4.
-2*t*(t + 1)*(t + 2)*(3*t + 1)
Let j(g) be the third derivative of -3*g**3 + 0*g + 0 + 27/40*g**6 + 41/8*g**4 + 100*g**2 - 1/14*g**8 + 11/35*g**7 - 19/5*g**5. Suppose j(f) = 0. Calculate f.
-2, 1/4, 1/2, 1, 3
Let k(a) be the second derivative of 2 + 1/8*a**5 + 0*a**2 + 87*a + 1/84*a**7 + 0*a**3 + 1/15*a**6 + 1/12*a**4. Factor k(q).
q**2*(q + 1)**2*(q + 2)/2
Let v(j) be the second derivative of 112*j + 0*