 12 - 3/20*x**5 - 3/4*x**4. Let p(r) be the first derivative of q(r). Factor p(s).
-3*s*(s + 1)*(s + 2)
Suppose -478994 + 24*l**2 - 476303 - 17*l**2 + 353121 - 3104*l - 11*l**2 = 0. What is l?
-388
Let l(a) be the second derivative of -a**7/17640 - a**6/5040 + a**5/140 + 28*a**4/3 + 110*a. Let w(t) be the third derivative of l(t). Solve w(z) = 0.
-3, 2
Let v(y) = -3*y**2 - 19*y. Let q be v(-6). Suppose -k - 53 = -f + 30, 4*f - 332 = k. Factor -f*r**4 + 80*r**4 - 3*r - q*r**2 + 9*r + 15*r**2.
-3*r*(r - 2)*(r + 1)**2
Let x(o) = -3*o**4 + o**3 + o**2 + 2*o - 1. Let c(r) = 17*r**4 + 13*r**3 + 41*r**2 + 20*r + 5. Let t(k) = c(k) + 5*x(k). Solve t(g) = 0 for g.
-5, -3, -1, 0
Factor 233*k**4 - 12276*k + 47*k**4 + 11532 - 198*k**3 + 49*k**4 + 3639*k**2 - 326*k**4.
3*(k - 31)**2*(k - 2)**2
Let g(w) be the first derivative of w**6/30 - 8*w**5/5 - 183*w**4/10 - 288*w**3/5 - 27*w**2/10 + 1296*w/5 - 1415. Determine u, given that g(u) = 0.
-3, 1, 48
Let y(s) = 3*s**3 + 49*s**2 + 12*s + 12. Let q be y(-16). Find p such that 48 + q*p**2 - 18*p**4 + 217*p + 367*p**3 - 81*p - 409*p**3 = 0.
-3, -2/3, 2
Let -324607*w**2 + 162297*w**2 - 12 + 162300*w**2 - 5*w**3 + 29*w - 2*w**3 = 0. What is w?
-3, 4/7, 1
Let u(n) be the first derivative of -3*n**5/140 + n**4/28 - 5*n + 42. Let p(f) be the first derivative of u(f). Let p(j) = 0. Calculate j.
0, 1
Let k(m) be the third derivative of m**7/1260 + 61*m**6/360 + m**5 + 67*m**4/8 + 89*m**2. Let r(l) be the second derivative of k(l). Let r(f) = 0. What is f?
-60, -1
Factor 4*s**4 + 46*s**2 + 36 - 78*s - 71*s**3 + 32*s**3 + 37*s**3 - 6*s**4.
-2*(s - 3)*(s - 1)**2*(s + 6)
Let f(y) be the second derivative of -y**6/150 + 6*y**5/25 - 7*y**4/20 - 23*y**3/15 - 250*y - 3. Suppose f(o) = 0. What is o?
-1, 0, 2, 23
Let x be (4/(-12)*4)/(4/(-2836)). Let n = x + -936. Suppose -4 + n*g + 5/3*g**2 = 0. What is g?
-6, 2/5
Let l = 130 - 124. Let 2*y - 4*y + l*y**2 + 2*y**2 - 6*y**2 = 0. What is y?
0, 1
Let z(t) be the first derivative of t**4/2 + 634*t**3/3 + 4291*t**2 + 29694*t + 608. Let z(j) = 0. Calculate j.
-303, -7
Let m(w) be the third derivative of w**9/90720 + w**8/2160 + 7*w**7/1080 + 7*w**5/6 - 4*w**2 - 14. Let o(t) be the third derivative of m(t). Solve o(p) = 0.
-7, 0
Let p be -10 - ((-12 - -9) + -9). Let n(d) be the first derivative of 0*d + 1/10*d**4 + 0*d**p - 1 + 4/45*d**3 + 2/75*d**5. Suppose n(s) = 0. What is s?
-2, -1, 0
Let m = -3575 - -3585. Let s(v) be the second derivative of -m*v**2 + 0 + 30*v**3 + 14*v - 135/4*v**4. Let s(o) = 0. What is o?
2/9
Suppose 738 = -44*k + 367 + 371. Factor 0*u + k + 0*u**2 + 1/5*u**4 + 2/5*u**3.
u**3*(u + 2)/5
Let u(q) be the first derivative of 8*q**3/15 + 155*q**2 - 388*q/5 + 2487. Factor u(d).
2*(d + 194)*(4*d - 1)/5
Suppose -1936/5*l**3 - 1/5*l**5 + 0*l**2 + 88/5*l**4 + 0*l + 0 = 0. Calculate l.
0, 44
Suppose 11 = 8*k - 29. Solve -18*s + 33*s**2 - 9*s**4 - 16 + 36*s**4 + 39 - 21*s**k - 23 + 99*s**3 = 0 for s.
-1, 0, 2/7, 3
Let i(z) be the second derivative of -z**6/5 + 237*z**5/20 + 243*z**4/8 + 245*z**3/8 + 123*z**2/8 - z - 259. Factor i(n).
-3*(n - 41)*(2*n + 1)**3/4
Let c = 179 + -177. Factor 1635 - 3275 + 3*m**c + 1619 - 18*m.
3*(m - 7)*(m + 1)
Let f(j) be the third derivative of -j**6/40 - j**5/10 + 21*j**4/8 - 9*j**3 - 1690*j**2 + 3. What is o in f(o) = 0?
-6, 1, 3
Let c(x) be the first derivative of 0*x + 0*x**2 + 0*x**3 + 1/18*x**6 + 2/15*x**5 - 1/4*x**4 - 68. Determine q, given that c(q) = 0.
-3, 0, 1
Let m(u) be the second derivative of -u**7/1260 - u**6/45 - u**5/5 - 3*u**4/4 + 27*u. Let p(i) be the third derivative of m(i). Solve p(l) = 0.
-6, -2
Suppose 0 = 4*v - 7*t + 5*t - 8, -5*v + t = -13. Determine n so that -12*n - 255*n**v - 31*n**5 - 252*n**2 + 144*n**4 + 87*n + 46*n**5 + 57*n = 0.
-11, -1, 0, 2/5, 2
Let i(g) be the first derivative of -g**8/336 + g**7/28 - 5*g**6/72 + 26*g**3/3 + 2*g - 68. Let j(v) be the third derivative of i(v). Factor j(r).
-5*r**2*(r - 5)*(r - 1)
Let c(p) be the second derivative of p**4/42 + 124*p**3/21 + 244*p**2/7 + p - 523. Factor c(v).
2*(v + 2)*(v + 122)/7
Suppose -25*h - 10439 = -10489. Let k = 11509/10 - 1150. Factor -1/10*n**h - n - k.
-(n + 1)*(n + 9)/10
Let g(t) be the second derivative of 232*t**7/147 + 718*t**6/35 + 2038*t**5/35 - 2396*t**4/21 - 540*t**3/7 - 50*t**2/7 - 4064*t. Determine i so that g(i) = 0.
-5, -1/4, -1/29, 1
Determine q so that 160*q**4 - 17246*q + 19402*q**2 - 13059*q - 42701*q + 4246*q**2 + 41472 - 2*q**5 + 18862*q - 3784*q**3 = 0.
2, 4, 36
Let z(c) be the third derivative of -c**6/40 + 168*c**5/5 - 18816*c**4 + 5619712*c**3 + 5*c**2 - 149. Factor z(r).
-3*(r - 224)**3
Suppose 0 = -4*f + 6*f - 8. Suppose -5*j - 26 = -26. Determine m so that -6*m**3 + 4*m**4 + j*m**4 + f*m**2 - 4*m**5 + 3*m**5 - m = 0.
0, 1
Let x(r) = r**3 + 27*r**2 + 133*r + 224. Let o(c) = c**3 + 26*c**2 + 132*c + 224. Let q(s) = 5*o(s) - 4*x(s). Suppose q(f) = 0. What is f?
-14, -4
Let r = -15950/3 + 5318. Let h(u) be the first derivative of -4/5*u**5 + 0*u + 3 + 0*u**2 - r*u**3 - 2*u**4. Factor h(n).
-4*n**2*(n + 1)**2
Let j be -14 + 20 + (-1564)/3. Let s = j + 516. Suppose -4/3*n - s*n**2 + 0 = 0. Calculate n.
-2, 0
Let n be ((-17)/3)/((-2503)/5006). Determine l so that 2/3*l**2 + 0 + n*l = 0.
-17, 0
Find y such that 2990*y - 291/2*y**2 - 13*y**3 + 26450 + 1/2*y**4 = 0.
-10, 23
Suppose 4*l - 138 = -b, 2*b + 3*b - 78 = -2*l. Find h such that 75*h + l*h - 2265*h**2 + 12 + 2388*h**2 + 2*h + 24*h**3 = 0.
-4, -1, -1/8
Let t(j) be the third derivative of -j**6/180 - 9*j**5/10 - 133*j**3/6 - 3*j**2 + 8. Let z(f) be the first derivative of t(f). Let z(h) = 0. Calculate h.
-54, 0
Let j(p) be the third derivative of -1/3*p**4 + 0 + 5*p + 1/60*p**6 + 0*p**3 + 2/105*p**7 - 3*p**2 - 4/15*p**5. Determine n, given that j(n) = 0.
-2, -1/2, 0, 2
Let p be 19 + (((-15120)/(-196))/(-10) - 4/14). Suppose 2*g**2 - g**4 - 1 + 11/2*g**5 + 11/2*g - p*g**3 = 0. What is g?
-1, 2/11, 1
Let w(z) be the third derivative of -z**6/360 - 13*z**5/40 + 47*z**3/2 + 107*z**2. Let i(b) be the first derivative of w(b). Determine y so that i(y) = 0.
-39, 0
Factor 26987*l**2 + 26988*l**2 + 8413*l + 2090 - 53983*l**2 - 55*l.
-2*(l - 1045)*(4*l + 1)
Let v = 75 + -41. Factor 14*m**4 - 13*m**2 + 3*m**2 - 4 + v*m - 52*m + 18*m**3.
2*(m - 1)*(m + 1)**2*(7*m + 2)
Let s(t) be the second derivative of -t**7/210 - 7*t**6/45 - 49*t**5/30 + 46*t**3/3 - 45*t. Let z(n) be the second derivative of s(n). Factor z(j).
-4*j*(j + 7)**2
Let w(z) = -z**3 + 28*z**2 - 214*z + 390. Let v be w(9). Factor 26*a + 9/2*a**v - 24*a**2 + 0 + 1/2*a**4.
a*(a - 2)**2*(a + 13)/2
Let q(t) be the first derivative of 3*t**5/25 - 681*t**4/20 + 2507*t**3 + 23805*t**2/2 - 2217. Factor q(d).
3*d*(d - 115)**2*(d + 3)/5
Suppose -4*a - 2*o + 6*o = -4, -5*a - 31 = 4*o. Let n be (a - -9 - 3)/(3/4). Find t, given that 18*t**4 - 6*t**3 + n*t - 16*t**4 - 2*t**2 - 2*t**5 + 4*t**5 = 0.
-2, -1, 0, 1
Let z(o) be the first derivative of -307 + 2/7*o**4 + 0*o**3 - 1/21*o**6 + 0*o + 0*o**2 - 6/35*o**5. Factor z(v).
-2*v**3*(v - 1)*(v + 4)/7
Let v = -499 - -334. Let d = v - -497/3. Determine h so that -2 + d*h**2 - 4/3*h = 0.
-1, 3
Suppose x = 3*x. Suppose 15*r + 161*r - 3005 = -2653. Determine t, given that x + 12/5*t + 3/5*t**r = 0.
-4, 0
Suppose 21*g + g = 10736. Factor 4977 + g*u + 7456 + 2451 + 4*u**2.
4*(u + 61)**2
Let x(j) be the second derivative of -j**5/10 - 7*j**4/6 + 4*j**3/3 + 28*j**2 + 16*j + 30. Factor x(b).
-2*(b - 2)*(b + 2)*(b + 7)
Let w(q) be the first derivative of -3*q**5/10 + 3*q**4/4 + 73*q**3/2 + 105*q**2/2 + 2041. Suppose w(j) = 0. What is j?
-7, -1, 0, 10
Let h = -2887 - -1588. Let s = -3893/3 - h. Let 0 - s*n**2 + 4/3*n**4 + 20/3*n - 20/3*n**3 = 0. Calculate n.
-1, 0, 1, 5
Find o, given that -o + 4676760*o**2 - 4676746*o**2 + 16*o = 0.
-15/14, 0
Let s(m) = 2*m**3 + 22*m - 27*m - 4 + 13*m**2 + 11. Let l be s(-6). Let -105*w + 5*w + 600*w**3 - 720*w**4 - 20 + l*w**2 + 42*w**2 = 0. What is w?
-1/4, 2/3
Suppose -6/7*m**5 - 250/7*m**2 + 0 - 100/7*m + 22*m**3 + 10/7*m**4 = 0. Calculate m.
-5, -1/3, 0, 2, 5
Let n(j) = -17*j**2 - 120*j + 1647. Let d(u) = 3*u**2 - 2*u + 5. Let r(b) = 5*d(b) + n(b). Suppose r(l) = 0. What is l?
-76, 11
Let u(i) = i**3 - 3*i**2 - 46*i - 70. Let d be u(-4). Let a(c) be the third